(1) Department of Mechanics, South China University of Technology, 510641 Guangzhou, P. R. China
Abstract:
The uniqueness of solution of field point, inside a convex region due to singular source(s) with kernel function decreasing
with distance increasing, outside-region-distribution(s) such that the boundary condition expressed by the response of the
source(s) is satisfield, is proved by using the condition of kernel function decreasing with distance increasing and an integral
inequality. Examples of part of these singular sources such as Kelvin's point force, Point-Ring-Couple (PRC) etc. are given.
The proof of uniqueness of solution of field point in a twisted shaft of revolution due to PRC distribution is given as an
example of application.